In this unit students will use their understanding of adding and subtracting fractions and generating equivalent fractions to solve problems involving fractions and mixed numbers. Students rely on their previous work with whole numbers as fractions to compose and decompose whole numbers into fractional quantities. Data is used in this unit to support studentsâ€™ understanding of fractional quantities both smaller and larger than 1.
Key Concepts:
 Replacing a mixed number with an equivalent fraction and using the relationship between addition and subtraction can make it easier to add and subtract fractions with like denominators.
 We can use visual models and equations to represent situational problems involving addition and subtraction of fractions with the same whole and like denominators.
Lessons

Lesson objective: Understand that mixed numbers are numbers that can be rewritten as equivalent fractions and the commutative and associative properties apply. Students bring prior knowledge of decomposing fractions from 3.NF.A.1 and of writing whole nu...

Lesson objective: Practice rewriting mixed numbers as equivalent fractions to create flexibility when adding and subtracting. This lesson helps build procedural skill with adding and subtracting mixed numbers. Deliberate use of vocabulary is used here b...

Lesson objective: Practice adding mixed numbers by decomposing the mixed number into a whole number and fraction and then applying the communicative and associative properties. This lesson helps to build procedural skill with adding mixed numbers. Delib...

Lesson objective: Compare strategies for adding mixed numbers. This lesson provides an opportunity for students to apply their knowledge and understanding of adding mixed numbers to a mathematical situation. Students are asked to compare two strategies ...

Lesson objective: Apply knowledge of adding and subtracting mixed numbers when analyzing a line plot. This lesson provides an opportunity for students to apply their knowledge and understanding of line plots to a reallife situation. Students are asked ...

Lesson objective: Understand that we can express a number in multiple ways with both mixed numbers and fractions and flexibly move between the representations to more efficiently add and subtract mixed numbers. Students bring prior knowledge of decompos...

Lesson objective: Solve mixed number addition and subtraction problems by using the relationship between addition and subtraction. This lesson provides an opportunity for students to apply their knowledge and understanding of adding mixed numbers to a m...

Lesson objective: Solve word problems involving mixed number addition and subtraction by using a problemsolving strategy to check for understanding and accuracy. This lesson helps to build procedural skill with adding and subtracting mixed numbers. Bar...

Lesson objective: Practice subtracting mixed numbers by decomposing the minuend into an equivalent mixed number. This lesson helps to build procedural skill with adding mixed numbers. Deliberate use of vocabulary is used here because it supports the con...
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